Lilmod Ulilameid has done a very good job of making the point.
Nobody, including the OP, thinks it would be LH in the particular case described. The issue was not with informing concerned individuals of a known molester. ?? ????? ?? ?? ??? would mandate such information be shared as necessary.
The problem was with the sentiment that “I know better than the Halacha.” Sorry, you don’t. There will be many situations in which the Halacha dictates you act in a way that is inconsistent with your own thinking and feelings. You do not get to choose when to follow Halacha.
It happens to be that questions of LH are among the most common of such situations. These Halachos must be studied and mastered, otherwise you are guaranteed to violate them. As a reminder, Chazal equate LH with ? ??????. This is serious business.
I personally know someone whose life was ruined as a result of an unsubstantiated claim of molestation which was publicized as fact by people who had an axe to grind, and little care for honesty. Presumption of innocence notwithstanding, my friend’s career was over and his life in shambles. The judge dismissed the case; the public dismissed the truth.
You need to know the facts before you go believing things about people. I agree that guilty parties should be prosecuted to the fullest extent of the Halacha. We should not, we dare not, cover up for the molester. However, we should know better than to believe every allegation, and we should know better than to destroy another person who has done nothing wrong.